A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends
type: Item
instance of: scholarly article
title: A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends
zbMATH Open document ID: 0604.53002
author: David Hoffman
author: William H. III Meeks
published in: Journal of Differential Geometry
publication date: 1985-01-01T00:00:00Z
review text: The only known examples of complete embedded minimal surfaces in \({\mathbb{R}}^ 3\) of finite total curvature have been the plane and the catenoid. Here the authors exhibit another such surface which topologically is a torus with three punctures.
reviewed by: Ulrich Pinkall
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 3975779
zbMATH Keywords: minimal surfaces
zbMATH Keywords: finite total curvature
Wikidata QID: Q115187328
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214439467
OpenAlex ID: W1742663008
DOI: 10.4310/JDG/1214439467
description: scientific article; zbMATH DE number 3975779